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Dear Avital and dear gap-forum,

no, I mean to look for the subgroups, of G x H, whose projections onto G

and H are in the known lists of the self-normalized subgroups (such

subgroups don't need to be subdirect products). This may be

computationally easier that looking for all the subgroups and then testing

whether a subgroup is self-normalized. Of course, you will need some

accuracy in preparing a Gap program to do that.

Greetings,

Marco

Dear Marco,

Thank you. I didn't think of that. If I understand correctly, then it is

enough to find the subdirect products of all M and N such that M is

self-normalized in G and N is self-normalized in H.Still, I do not see how that could give me a more efficient way of

calculating the set of self-normalized subgroups of G x H. I could not find

a way to calculate the set of subdirect products of two groups.Thanks,

Avital.

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